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Finding the Fourth Proportional to 299.46, 446.43 and 294.78

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Solution

The fourth proportional to 299.46, 446.43 and 294.78 is: 439.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.46 : 446.43 = 294.78 : x
  2. Step 2: Convert to fraction form
    299.46/446.43 = 294.78/x
  3. Step 3: Cross multiply
    299.46x = 446.43 × 294.78
  4. Step 4: Simplify right side
    299.46x = 131,597.16
  5. Step 5: Solve for x
    x = 131,597.16/299.46
  6. Step 6: Final answer
    x = 439.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.